Electronic Journal of Differential Equations, Vol. 2008(2008), No. 70, pp. 1-11. Title: Positive solutions for a high-order multi-point boundary-value problem in Banach spaces Author: Weihua Jiang (Hebei Normal Univ., China) Abstract: Using the fixed point theory of strict set contractions, we study the existence of at least one, two, and multiple positive solutions for higher order multiple point boundary-value problems in Banach spaces. Our result extends some of the existing results. Submitted March 30, 2008. Published May 13, 2008. Math Subject Classifications: Key Words: Banach space; positive solution; strict set contraction; boundary-value problem.